On the Nonlinear Neutral Conformable Fractional Integral-Differential Equation

• 作者: Sen Wang
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: Conformable Fractional Derivative DELAY Existence and Uniqueness Functional Differential Equation
• 年，卷（期）: 2020,（10）
• 页码范围: 1041-1051
• 页数: 11页
• 分类号: O17

摘要

In this paper, we investigate the nonlinear neutral fractional integral-differential equation involving conformable fractional derivative and integral. First of all, we give the form of the solution by lemma. Furthermore, existence results for the solution and sufficient conditions for uniqueness solution are given by the Leray-Schauder nonlinear alternative and Banach contraction mapping principle. Finally, an example is provided to show the application of results.